We're dividing 17969 by 11 
We want to divide 17969 by 11.

Step 1:
11 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 11

Moving on to step 2:
When dividing 17 by 11, we get 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 11 from 17, we get 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 11

Going ahead to step 3:
When dividing 69 by 11, we get 6 with a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 16.0
Subtracting 66 from 69 leaves us with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 11

Moving on to step 4:
11 goes into 36 3 times with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 163.0
If we take 33 away from 36, we end up with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 11

Step 5:
If we divide 39 by 11, we get 3 and a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 1633.0
Deduct 33 from 39 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 6:
If we divide 60 by 11, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 1633.5
The remainder is 5 after subtracting 55 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
If we divide 50 by 11, we get 4 and a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 1633.54
If we take 44 away from 50, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
11 goes into 60 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 1633.545
If we take 55 away from 60, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
If we divide 50 by 11, we get 4 and a remainder of 6.
The next digit of our result is 4. 
Result so far: 1633.5454
Subtract 44 from 50 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 10:
The number 11 fits into 60 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 1633.54545
The remainder is 5 after subtracting 55 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 11:
If we divide 50 by 11, we get 4 and a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 1633.545454
The remainder is 6 after subtracting 44 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 12:
11 can be fit into 60 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 1633.5454545
If we take 55 away from 60, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 13:
11 goes into 50 4 times with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 1633.54545454
Deduct 44 from 50 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 1633.54545454 with a remaining 6e-09.